The generator matrix

 1  1  1  1  1  1  1  2  1  2  2  1  1  1
 0 12  0  0  0  0  8 12  4  4 12 12  0  0
 0  0 12  0  0  0 12  4  8  4  0  4  4  0
 0  0  0 12  0  4  4  8  4  4  0  0 12  0
 0  0  0  0 12  4  8 12  8 12  8  0  8  0
 0  0  0  0  0  8  8  0  0  8  8  8  0  0

generates a code of length 14 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+51x^8+60x^9+145x^10+184x^11+385x^12+756x^13+4969x^14+816x^15+416x^16+196x^17+123x^18+24x^19+43x^20+12x^21+11x^22

The gray image is a code over GF(2) with n=112, k=13 and d=32.
This code was found by Heurico 1.16 in 0.102 seconds.